naa a22 4500 510811159 CHVBK 20180411083443.0 cr unu---uuuuu 180411e20130401xx s 000 0 eng 10.1007/s12220-011-9257-1 doi (NATIONALLICENCE)springer-10.1007/s12220-011-9257-1 Popovici Dan Institut de Mathématiques de Toulouse, Université Paul Sabatier, 118, route de Narbonne, 31 062, Toulouse, France aut Stability of Strongly Gauduchon Manifolds Under Modifications [Elektronische Daten] [Dan Popovici] In our previous works on deformation limits of projective and Moishezon manifolds, we introduced and made crucial use of the notion of strongly Gauduchon metrics as a reinforcement of the earlier notion of Gauduchon metrics. Using direct and inverse images of closed positive currents of type (1,1) and regularization, we now show that compact complex manifolds carrying strongly Gauduchon metrics are stable under modifications. This stability property, known to fail for compact Kähler manifolds, mirrors the modification stability of balanced manifolds proved by Alessandrini and Bassanelli. Mathematica Josephina, Inc., 2011 Closed positive (1,1)-current nationallicence Compact complex Hermitian manifold nationallicence Direct and inverse image of a current nationallicence Proper holomorphic bimeromorphic map nationallicence Strongly Gauduchon manifold nationallicence Journal of Geometric Analysis Springer-Verlag 23/2(2013-04-01), 653-659 1050-6926 23:2<653 2013 23 12220 https://doi.org/10.1007/s12220-011-9257-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s12220-011-9257-1 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Popovici Dan Institut de Mathématiques de Toulouse, Université Paul Sabatier, 118, route de Narbonne, 31 062, Toulouse, France aut NATIONALLICENCE 773 0- Journal of Geometric Analysis Springer-Verlag 23/2(2013-04-01), 653-659 1050-6926 23:2<653 2013 23 12220 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer